Fixed point theorem of generalized quasi-contractive mapping in cone metric space

DOI10.1016/J.CAMWA.2011.03.107zbMath1231.65101OpenAlexW2092164566MaRDI QIDQ660784

Xiangsun Zhang

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.107

zbMATH Keywords

fixed pointcone metric spacegeneralized quasi-contractive mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (6)

Fixed point theorems for \((p,q)\)-quasi-contraction mappings in cone metric spaces ⋮ Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme ⋮ New fixed point results of single-valued mapping for \(c\)-distance in cone metric spaces ⋮ Common coupled fixed point theorems of single-valued mapping for \(c\)-distance in cone metric spaces ⋮ Coupled fixed point theorems of single-valued mapping for \(c\)-distance in cone metric spaces ⋮ Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces

Cites Work

• Pair of non-self-mappings and common fixed points
• Cone metric spaces and fixed point theorems of contractive mappings
• Quasi-contraction on a cone metric space
• A Generalization of Banach's Contraction Principle

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